4117116 has 24 divisors (see below), whose sum is σ = 9702784. Its totient is φ = 1358640.

The previous prime is 4117109. The next prime is 4117123. The reversal of 4117116 is 6117114.

It is an interprime number because it is at equal distance from previous prime (4117109) and next prime (4117123).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4117092 and 4117101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 2901.

Almost surely, 2^4117116 is an apocalyptic number.

It is an amenable number.

4117116 is an abundant number, since it is smaller than the sum of its proper divisors (5585668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4117116 is a wasteful number, since it uses less digits than its factorization.

4117116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3439 counting only the distinct ones).

The product of its digits is 168, while the sum is 21.

The square root of 4117116 is about 2029.0677662414. The cubic root of 4117116 is about 160.2744767880.

The spelling of 4117116 in words is "four million, one hundred seventeen thousand, one hundred sixteen".